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Finding the Fourth Proportional to 919.76, 1,379.60 and 509.10

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Solution

The fourth proportional to 919.76, 1,379.60 and 509.10 is: 763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.76 : 1,379.60 = 509.10 : x
  2. Step 2: Convert to fraction form
    919.76/1,379.60 = 509.10/x
  3. Step 3: Cross multiply
    919.76x = 1,379.60 × 509.10
  4. Step 4: Simplify right side
    919.76x = 702,354.36
  5. Step 5: Solve for x
    x = 702,354.36/919.76
  6. Step 6: Final answer
    x = 763.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.